1.3. Hardware
A subsection of Computer Science, 9608, through 1. Theory Fundamentals
Listing 10 of 37 questions
Complete the Boolean function that corresponds to the following truth table. INPUT OUTPUT A B C X X = A . B . C + The part to the right of the equals sign is known as the sum-of-products. For the truth table above complete the Karnaugh Map (K-map). AB C The K-map can be used to simplify the function in part. Draw looparound appropriate groups of 1’s to produce an optimal sum-of-products. Using your answer to part , write the simplified sum-of-products Boolean function. X = The truth table for a logic circuit with four inputs is given below: INPUT OUTPUT A B C D X Complete the K-map corresponding to the truth table above. AB CD Draw looparound appropriate groups of 1’s to produce an optimal sum-of-products. Using your answer to part , write the simplified sum-of-products Boolean function. X =
9608_w15_qp_31
THEORY
2015
Paper 3, Variant 1
View
Complete the Boolean function that corresponds to the following truth table. INPUT OUTPUT P Q R Z Z = P . Q . R + The part to the right of the equals sign is known as the sum-of-products. For the truth table above complete the Karnaugh Map (K-map). PQ R The K-map can be used to simplify the function in part. Draw looparound appropriate groups of 1’s to produce an optimal sum-of-products. Using your answer to part , write the simplified sum-of-products Boolean function. Z = The truth table for a logic circuit with four inputs is given below: INPUT OUTPUT P Q R S Z Complete the K-map corresponding to the truth table above. PQ RS Draw looparound appropriate groups of 1’s to produce an optimal sum-of-products. Using your answer to part , write the simplified sum-of-products Boolean function. Z =
9608_w15_qp_32
THEORY
2015
Paper 3, Variant 2
View
Complete the Boolean function that corresponds to the following truth table. INPUT OUTPUT A B C X X = A . B . C + The part to the right of the equals sign is known as the sum-of-products. For the truth table above complete the Karnaugh Map (K-map). AB C The K-map can be used to simplify the function in part. Draw looparound appropriate groups of 1’s to produce an optimal sum-of-products. Using your answer to part , write the simplified sum-of-products Boolean function. X = The truth table for a logic circuit with four inputs is given below: INPUT OUTPUT A B C D X Complete the K-map corresponding to the truth table above. AB CD Draw looparound appropriate groups of 1’s to produce an optimal sum-of-products. Using your answer to part , write the simplified sum-of-products Boolean function. X =
9608_w15_qp_33
THEORY
2015
Paper 3, Variant 3
View
A bank approves a customer for an account based on the criteria in the following table. Parameter Description of parameter Binary value Condition A Employed True False B Self-employed True False C Over 21 True False D Earn more than 30 000 True False E Another account True False A customer is approved (X = 1) if the person: • is over 21 and employed or • is over 21 and self-employed and • either earns more than 30 000 or • has another account. Draw a logic circuit to represent the model. A B X D E C Complete the truth table for the logic expression: X = (A AND C) OR (NOT A AND (B XOR C)) A B C Working space X
9608_w19_qp_11
THEORY
2019
Paper 1, Variant 1
View
Questions Discovered
37